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Atomical Grothendieck categories

Authors :
C. Năstăsescu
B. Torrecillas
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 71, Pp 4501-4509 (2003)
Publication Year :
2003
Publisher :
Wiley, 2003.

Abstract

Motivated by the study of Gabriel dimension of a Grothendieck category, we introduce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type of Grothendieck categories.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
2003
Issue :
71
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.45727381b2f43c39ace21e7d65c728a
Document Type :
article
Full Text :
https://doi.org/10.1155/S0161171203209418